Answer:
[tex]|p-q|-(|p|-|q|) = 20[/tex]
Step-by-step explanation:
First let's find the value of 'p-q':
[tex]p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\[/tex]
To find |p-q| (module of 'p-q'), we can use the formula:
[tex]|ai + bj| = \sqrt{a^{2}+b^{2}}[/tex]
Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'
So we have:
[tex]|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25[/tex]
Now, we need to find the module of p and the module of q:[tex]|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15[/tex]
[tex]|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10[/tex]
Then, evaluating |p-q|-{|p|-|q|}, we have:
[tex]|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20[/tex]
Stanley has drawn a right angle triangle. One side is 14cm and another is 18cm. There are two possible lengths for the third side. What are they?
Answer:
2V130 , 8V2
Step-by-step explanation:
If these are cahetus
x^2=14^2+18^2=196+324=520
x=V520=2V130
if 18 is not a cathetus then
18^2=x^2+14^2
x^2=18^2-14^2
x^2=324-196=128
x=V128
x=8V2
Please help will mark brainliest
Answer:
-1/5
Step-by-step explanation:
What is the slope of the line shown below?
A. - 1/2
B. 1
C. -1
D. 1/2
Answer:
C. -1
Step-by-step explanation:
Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (1,7) and (3,5).
[tex]m=\frac{5-7}{3-1} =\frac{-2}{2} =-1[/tex]
The slope is -1, and therefore, Option C should be the correct answer.
The diagram represents the factorization of a2+8a+12. A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12. What is the missing number that will complete the factorization? 6 8 12 24
Answer:
(A)6
Step-by-step explanation:
Given the quadratic expression: [tex]a^2+8a+12[/tex]
We factorize:
[tex]a^2+8a+12=a^2+6a+2a+12\\=a(a+6)+2(a+6)\\=(a+2)(a+6)[/tex]
Therefore, the missing number that will complete the factorization is 6.
Factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.
What is Factorization?Factorization can be defined as a process of resolving a product into factors.
Thus:
a² + 8a + 12
a² + 6a + 2a + 12
(a² + 6a) + (2a + 12)
a(a + 6) +2(a + 6)
(a + 2)(a + 6)
Therefore, factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.
Learn more about factorization on:
https://brainly.com/question/25829061
Will anyone be kind enough to answer this
Answer:
Step-by-step explanation: it should be on quizlet here the points go out fast
Answer:
137
Step-by-step explanation:
for the two triangles
formula=1/2×b×h
=1/2×6×4=12
since there are 2 triangles=12×2=24
for the side rectangles
area=l×b
=7×5=35
since there are 2 rectangles=35×2=70
the rectangle in the middle=7×6=42
now add all of them = 25+70+42=137
Would the midpoint (2,2) be correct?
Answer: YES, Its correct.
[tex]M_x=\frac{-6+2}{2}=2\\\\M_y=\frac{-3+7}{2}=2\\\\M=(2,2)[/tex]
Answer:
(-2,2)
Step-by-step explanation:
The midpoint is the middle of the line. So, you can take it step-by-step and look at the individual numbers.
Between -6 and 2, that is 8 spaces. So, the middle would be four spaces from one of those numbers. Therefore, X-COORDINATE = -2
Between -3 and 7, that is 10 spaces. So the middle would be 5 spaces from one of those numbers, Therefore, Y-COORDINATE = 2
So, the midpoint would be (-2,2)
The top of the circular table has a radius of 16 inches.What is the circumfrence of the tabletop? Use 3.14 for pie
Answer:
100.48
Step-by-step explanation:
Using the formula : 2pi times the radius, I can plug the radius in and find the circumference. 2 times pi is 6.28, and the radius is 16. 6.28 times 16 = 100.48.
Please answer fast its for khan academy
Reescreva os números que aparecem na forma de notação cientifica.
1- 12.756.000 m
2- 510.072.000km²
3- 5.973.600.000.000.000.000.000.000kg
4- 7.722.522.000
5- 1.350.000.000.000.000.000
6- 361.800.000km²
Answer:
1) [tex]1.276 \times 10^{7}\,m[/tex], 2) [tex]5.101 \times 10^{8}\,km^{2}[/tex], 3) [tex]5.974 \times 10^{24}\,kg[/tex], 4) [tex]7.723\times 10^{9}[/tex], 5) [tex]1.350 \times 10^{18}[/tex], 6) [tex]3.618\times 10^{8}\,km^{2}[/tex]
Step-by-step explanation:
(This exercise is written in Portuguese and for that reason explanation will be held in Spanish, which has strong similarities with that language)
La notación científica presenta el siguiente formato:
[tex]x.y \times 10^{n}[/tex]
Donde:
[tex]x[/tex] - Un dígito entero.
[tex]y[/tex] - Dígitos decimales consecutivos.
[tex]n[/tex] - Grado de potencia.
Para cálculos cotidianos se recomienda el uso de tres decimales consecutivos. A continuación, se presentan los números convertidos a la forma de notación científica:
1) [tex]12.756.000\,m[/tex]
El grado de la potencia es siete (7).
[tex]1.276 \times 10^{7}\,m[/tex]
2) [tex]510.072.000\,km^{2}[/tex]
El grado de la potencia es ocho (8).
[tex]5.101 \times 10^{8}\,km^{2}[/tex]
3) [tex]5.973.600.000.000.000.000.000.000\,kg[/tex]
El grado de la potencia es veinticuatro (24).
[tex]5.974 \times 10^{24}\,kg[/tex]
4) [tex]7.722.522.000[/tex]
El grado de la potencia es nueve (9).
[tex]7.723\times 10^{9}[/tex]
5) [tex]1.350.000.000.000.000.000[/tex]
El grado de la potencia es dieciocho (18).
[tex]1.350 \times 10^{18}[/tex]
6) [tex]361.800.000\,km^{2}[/tex]
El grado de la potencia es ocho (8).
[tex]3.618\times 10^{8}\,km^{2}[/tex]
Pls help meeeeeeeeeeeeee
Answer:
5^18 in index form is the answer :)
Step-by-step explanation:
(5^3)^6
In a polynomial like this the rule is that,
(a^m)^n
= a^m*n (multiply the exponents)
So let a be 5
m be 3 and n be 6
5^3^6
= 5^3*6
= 5^18
Please help, URGENTTTT
A circle is the collection of points in a plane that are the same distance from a given point in the plane. A. True B. False
The radius of the circle is 4 inches. Which of the following units represents the diameter of the circle?
A. Inches
B. Square inches
C. Cubic Inches
D. None of the choices
Answer:
Inches
Step-by-step explanation:
Answer: The correct answer is inches because radius and Diameter are always given in a single form unit of measure.
Inches units represents the diameter of the circle.
Please mark brainliest
Hope this helps.
Dymin had a lot of boxes ready for moving. She went out and
bought seven more boxes. A week later her little brother
destroyed half of them. There are now only 22 boxes left.
How many did she start with?
Answer:
37 boxes
Step-by-step explanation:
At first, Dymin had some boxes. Let x be the starting number of boxes.
Then, she bought 7 more boxes. Let y be the new number of boxes that she had.
y = x + 7
Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is
Number of boxes = y/2
The number of the boxes left is 22 boxes. Then, we can use the equation above.
Number of boxes = 22
y/2 = 22
Substitute y = x + 7 into the equation.
(x + 7)/2 = 22
x + 7 = 44
x = 44 - 7
x = 37
Thus, Dymin has 37 boxes at first.
Two statements are given-one labeled Assertion (A) and the other labeled Reason(R). Select the correct answer to these questions from the codes (i), (ii), (iii) and (iv) as given below i) Both A and R are true and R is the correct explanation of the assertion ii) Both A and R are true and R is not the correct explanation of the assertion iii) A is true but R is false iv) A is false but R is true Assertion: Calcium oxide reacts vigorously with water to produce calcium hydroxide, releasing a large amount of heat. Reason: The above reaction is a combination reaction as it gives only a single product.
Answer: i) Both A and R are true and R is the correct explanation of the assertion
Step-by-step explanation:
When Calcium Oxide (Quick lime) reacts with water, it is a very rigorous reaction that produces a lot of heat and may even boil the water or burn the skin if it comes into contact with it. The resulting compound is Calcium Hydroxide. The Assertion is therefore true.
A Combination reaction does indeed result in only a single product being created or formed after a reaction. The above reaction is indeed a Combination reaction due to the production of only one Compound being Calcium Hydroxide.
f function g has the factors (x − 7) and (x + 6), what are the zeros of function g?
A.
-7 and 6
B.
-6 and 7
C.
6 and 7
D.
-7 and -6
Answer:
B
Step-by-step explanation:
James went on holiday to America.
The summary table below shows all his expenses during this trip.
Cost in $
Cost in £
Flights
£1,400
Hotel (14 nights)| $105 per night
Wifi (13 days)
$4 per day
I
The exchange rate at the time of James' holiday
was $1.45 to £1
Work out, in £, the total cost of his holiday.
Answer:
£2,450
Step-by-step explanation:
What we want to do here is calculate the total amount spent on his birthday in £
We already have some costs in pounds, it is the costs not in pounds we are converting.
Flights already in pounds, no conversion
Hotel $105 per night at 14 days
Total here is 14 * 105 = $1470
Wifi cost at $4 per day for 13 days
Total here is 13 * 4 = $52
Total amount spent in dollars alone is $1470 + $52 = $1522
We try and covert this to pounds
$1.45 = £1
$1522 = £x
We simply cross multiply at this point
x = 1522/1.45 = 1049.65 which is approximately £1050
Total amount spent in £ is thus 1050 + 1400 = £2,450
Answer:
£2449.65
Step-by-step explanation:
105 × 14 = $1470
1470 ÷ 1.45 = £1013.79
13 × 4 = $52
52 ÷ 1.45 = £35.86
£1013.79 + £35.86 = £1049.65
£1049.65 + 1400.00 = £2449.65
The total cost was £2449.65
x + (-13)= -5 what is the solution to the following equation
Answer:
Adding 13 to both sides we get x = 8.
Answer:
x = 8
Step-by-step explanation:
x - 13 = -5
x = 8
Help which expression is equivalent to this one? cuhhhhh.....!!
Answer:
3^ 6
Step-by-step explanation:
3^-2 * 3^8
We know that a^b * a^c = a^(b+c)
3^(-2+8)
3^ 6
Answer: [tex]3^{6}[/tex]
Step-by-step explanation: Since these two powers have the same base of 3, we can multiply them together by adding their exponents.
So [tex]3^{-2}[/tex] [tex]x[/tex] [tex]3^{8}[/tex] is [tex]3^{6}[/tex].
This idea is called the product rule.
If f(x) = 1 - X, which value is equivalent to [f(I)]?
О0
0 1
O v2
Ov-1
Answer:
0
Step-by-step explanation:
Here, given the function f(x), we want to calculate f(1)
Mathematically, this means we shall substitute 1 for the value of x in that function.
Thus, given F(x) = 1-x
Then F(1) would be = 1-1 = 0
What is the solution to the division problem below? (You can use long division
or synthetic division.)
2x - 3x2 -5x - 12
X-3
A. 2x2 + x + 4
B. 2x2 + 3x + 4
C. 2x2 + 7x + 4
O D. 2x2 + 5x + 4
SUBMIT
Answer:
I would say B.
Step-by-step explanation:
I used synthetic division for this, so I'm unsure if this is right. I have yet to learn exponents with it. Here's how I wrote it : 3] 2 -3 -5 -12. I bring down the 2 and multiply it by three to get six. After that, I multiply the sum of it (3) and got 9. I do the same, get -4 and multiply it another time, getting positive 12. I add the twelves together, get zero, and put it together as 2x^2+3x+4.
Hope this helps!
divide 405 in to the ratio 3:12
give answer in the form ... and ...
Answer:
81:324
Step-by-step explanation:
3+12=15
405 div 15 =27
3 times 27 = 81
12 times 27 = 324
81:324
The development of technology _____________.
a. has no effect on the environment
b. depends on people’s needs
c. depends only on our imagination
d. depends on what is learned in school
Answer:
B
Step-by-step explanation:
Pleease helpthis is my final exam
I want the answer of second question
Answer:
7
Step-by-step explanation:
as it does that F thing where its equal to it....
Answer:
I wont answer for you, but ill guide you in the right direction
Step-by-step explanation:
Q: 3
^Ignore above^
Just help me again please
Answer:
d. 192 m^2
Step-by-step explanation:
just multiply length and width
Which equation is rewritten in vertex form
Answer:
Option (2)
Step-by-step explanation:
Given expression is, y = (x + 3)² + (x + 4)²
By solving this expression,
y = x² + 6x + 9 + x² + 8x + 16
y = 2x² + 14x + 25
y = (2x² + 14x) + 25
y = 2(x² + 7x) + 25
y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25
y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25
y = 2(x + 3.5)² - 24.5 + 25
y = 2(x + 3.5)² + 0.5
[tex]y=(x+\frac{7}{2})^2+\frac{1}{2}[/tex]
Therefore, Option (2) will be the vertex form.
On a coordinate plane, a horizontal line goes through y = negative 3. Using the graph, determine the value of the slope. What is the slope? -3 0 3 no slope What is true about the graph? All x value are the same All Y values are the same Each X and Y value is different.
Answer:
The slope is 0/ No slope.
All Y values are the same
Step-by-step explanation
just took a test on it
what does the symbol mean on the image?
Answer:
Step-by-step explanation:
a) U -----> union
Union of two sets is the set of all distinct elements that are in A or B
A U B = {8 , 14 , 17 , 16, 9 , 15}
∩ ----------> intersection
Intersection of two sets is the set of all distinct elements that are in both A and B
A ∩ B = {14,17}
b) A' = {9 , 15 , 16 , 10 , 11 , 12 , 13}
P(A') = 7/10
What effect will replacing x with (x+7) have on the graph of the equation y=x2 y = x 2 ? A. slides the graph 7 units right B. slides the graph 7 units down C. slides the graph 7 units left D. shrinks the graph by a factor of 7
Answer:
C
Step-by-step explanation:
Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Thus y = (x + 7)²
represents a shift to the left of 7 units → C
The graph y = x² will slide the graph 7 units left by replacing x with (x+7) thus, the correct option is (C).
How to plot a graph?
In order to plot a graph, we have to substitute all the x's values into a function.
Find out the y's value corresponding to the x's and plot the graph in the coordinate geometry.
By the replacing x by (x + a) in the function y = f(x), the function is going to shift either left or right horizontaly.
1. If a is positive then the graph will slide left of the units.
2. If a is negative then the graph will slide right of the units.
Given that, y = x² is need to replace with y = (x+7)²
Since 7 is positive so the graph will slide 7 units left.
For more information about the graph
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HELP PLEASE
X P
0 0.03
1 0.13
2 0.70
3 0.10
4 0.04
Use the probability distribution table to answer the question.
P ( 2 < X ≤ 4)
Enter your answer, as a decimal, in the box.
Answer:
0.14
Step-by-step explanation:
Which statement describes the relationship between x and y? A. As x increases y decreases B. As x increases y increases C. As x increases y increases and then decreases D. As x increases y decreases and then increases
Its c, as x increases y increases and then decreases
